Given:
The scale of a map is [tex]\dfrac{3}{4}\ in=80\ miles[/tex].
The distance between two buildings is 60 miles.
To find:
The distance between the given building on the map.
Solution:
We have,
[tex]\dfrac{3}{4}\ in=80\ miles[/tex]
It means, 80 miles in real life = [tex]\dfrac{3}{4}\ in[/tex] on the map.
1 mile in real life = [tex]\dfrac{3}{4\times 80}\ in[/tex] on the map.
60 mile in real life = [tex]\dfrac{3\times 60}{4\times 80}\ in[/tex] on the map.
= [tex]\dfrac{180}{320}\ in[/tex] on the map.
= [tex]\dfrac{9}{16}\ in[/tex] on the map.
Therefore, the buildings are [tex]\dfrac{9}{16}\ in[/tex] apart on the map.
